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Premium A mathematical analysis of a nonisothermal Allen–Cahn type system
Vaz C.L.D.,
Boldrini J.L.
Publication year2012
Publication title
mathematical methods in the applied sciences
Resource typeJournals
PublisherJohn Wiley & Sons
Existence of solutions for a nonisothermal Allen–Cahn type system is proved by using a semidiscrete spectral Galerkin method together with degree theory and maximum principle. Regularity and uniqueness are obtained in a special situation for domains with dimension up to two and smooth enough data. The present system may model the evolution of solidification or melting processes occurring in certain binary alloys. Copyright © 2012 John Wiley & Sons, Ltd.
Subject(s)acoustics , allen–cahn equation , biology , degree (music) , dimension (graph theory) , ecology , finite element method , galerkin method , mathematical analysis , mathematics , physics , pure mathematics , thermodynamics , type (biology) , uniqueness
SCImago Journal Rank0.719

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